## Multiplying Mixed Numbers: 1 1/2 times 1 1/2

This article explores how to multiply mixed numbers, focusing on the specific example of 1 1/2 times 1 1/2.

### Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. For example, 1 1/2 represents one whole plus one half.

### Converting to Improper Fractions

Before multiplying, it's helpful to convert mixed numbers into improper fractions. Here's how:

**Multiply the whole number by the denominator of the fraction:**1 x 2 = 2**Add the numerator:**2 + 1 = 3**Keep the same denominator:**3/2

So, 1 1/2 is equivalent to 3/2.

### Multiplying Fractions

Now that we have improper fractions, multiplication is straightforward:

**Multiply the numerators:**3 x 3 = 9**Multiply the denominators:**2 x 2 = 4

This gives us 9/4.

### Converting Back to Mixed Number

The result, 9/4, is an improper fraction. To express it as a mixed number:

**Divide the numerator (9) by the denominator (4):**9 ÷ 4 = 2 with a remainder of 1.**The quotient (2) becomes the whole number part of the mixed number.****The remainder (1) becomes the numerator of the fraction.****The denominator remains the same (4).**

Therefore, 9/4 is equivalent to 2 1/4.

### Conclusion

Therefore, 1 1/2 times 1 1/2 is equal to 2 1/4. By converting mixed numbers to improper fractions and then following the rules of fraction multiplication, we can solve this and similar problems.